It’s 40 years since Rough Trade, Mute and Factory Records used an anti-industry attitude to give a voice to the likes of Joy Division and Depeche Mode. The labels’ founders recall why they had to rip things up and start again

Tapestry goes into space, Matisse and his subjects take over the Royal Academy, black power is on the rise, the V&A gets some va-va-voom and Manchester goes mad for New Order. Here are the pick of the summer’s art shows